An Implementation of the Generalized Differential Transform Scheme for Simulating Impulsive Fractional Differential Equations

Combined Galerkin spectral/finite difference method over graded meshes for the generalized nonlinear fractional Schrödinger equation

(2021) Ahmed S. Hendy et al.   NONLINEAR DYNAMICS

Fractional time-delay mathematical modeling of Oncolytic Virotherapy

(2021) Pushpendra Kumar et al.   CHAOS SOLITONS & FRACTALS

Dynamics of generalized Caputo type delay fractional differential equations using a modified Predictor-Corrector scheme

(2021) Zaid Odibat et al.   PHYSICA SCRIPTA

A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay

(2021) Ahmed S. Hendy et al.   APPLIED NUMERICAL MATHEMATICS

A novel spectral Galerkin/Petrov–Galerkin algorithm for the multi-dimensional space–time fractional advection–diffusion–reaction equations with nonsmooth solutions

(2021) Ramy M. Hafez et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

Fractional modeling of plankton-oxygen dynamics under climate change by the application of a recent numerical algorithm

(2021) Pushpendra Kumar et al.   PHYSICA SCRIPTA

Combining fractional differential transform method and reproducing kernel Hilbert space method to solve fuzzy impulsive fractional differential equations

(2020) Nematallah Najafi et al.   computational and applied mathematics

An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions

(2020) Mahmoud A. Zaky   APPLIED NUMERICAL MATHEMATICS

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

(2020) Ahmed S. Hendy et al.   APPLIED NUMERICAL MATHEMATICS

Convergence analysis of an L1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations

(2020) Mahmoud A. Zaky et al.   INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS

Recovery of high order accuracy in Jacobi spectral collocation methods for fractional terminal value problems with non-smooth solutions

(2019) Mahmoud A. Zaky   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

New collocation scheme for solving fractional partial differential equations

(2019) Chang Phang et al.   Hacettepe Journal of Mathematics and Statistics

On piecewise continuous solutions of higher order impulsive fractional differential equations and applications

(2016) Yuji Liu   APPLIED MATHEMATICS AND COMPUTATION

Existence of solution for impulsive differential equations with indefinite linear part

(2016) Qi Wang et al.   APPLIED MATHEMATICS LETTERS

A study on the convergence conditions of generalized differential transform method

(2016) Zaid M. Odibat et al.   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

A survey on impulsive fractional differential equations

(2016) JinRong Wang et al.   Fractional Calculus and Applied Analysis

On the concept of general solution for impulsive differential equations of fractional-order q ∈(1, 2)

(2015) Xianmin Zhang   APPLIED MATHEMATICS AND COMPUTATION

Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations

(2014) X. Liu et al.   APPLIED NUMERICAL MATHEMATICS

Existence and uniqueness of solutions for impulsive fractional differential equations

(2013) Mujeeb ur Rehman et al.   APPLIED MATHEMATICS AND COMPUTATION

Collocation methods for impulsive differential equations

(2013) Zuhua Zhang et al.   APPLIED MATHEMATICS AND COMPUTATION

The second kind Chebyshev wavelet method for solving fractional differential equations

(2012) Yanxin Wang et al.   APPLIED MATHEMATICS AND COMPUTATION

Existence and uniqueness of solutions for the nonlinear impulsive fractional differential equations

(2012) Zhenhai Liu et al.   Communications in Nonlinear Science and Numerical Simulation

Impulsive fractional functional differential equations

(2012) Tian Liang Guo et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Further analysis on uniform stability of impulsive infinite delay differential equations

(2011) Xiaodi Li   APPLIED MATHEMATICS LETTERS

On the concept and existence of solution for impulsive fractional differential equations

(2011) Michal Fec˘kan et al.   Communications in Nonlinear Science and Numerical Simulation

Positive solutions of a nonlinear impulsive equation with periodic boundary conditions

(2010) Aydin Huseynov   APPLIED MATHEMATICS AND COMPUTATION

On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials

(2010) Mustafa Gülsu et al.   APPLIED MATHEMATICS AND COMPUTATION

Impulsive fractional differential equations with variable times

(2009) Mouffak Benchohra et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

On the existence of almost periodic solutions for the impulsive Lasota–Wazewska model

(2008) Gani Tr. Stamov   APPLIED MATHEMATICS LETTERS

Generalized differential transform method: Application to differential equations of fractional order

(2007) Zaid Odibat et al.   APPLIED MATHEMATICS AND COMPUTATION

Application of differential transform method to non-linear oscillatory systems

(2007) Moustafa El-Shahed   Communications in Nonlinear Science and Numerical Simulation